How to Calculate Trig Function Graphs
What is Trig Function Graphs?
Trigonometric graphs (sine, cosine, tangent) are periodic wave functions. The sine and cosine graphs oscillate between −1 and +1 with a period of 360° (2π radians). Transformations like amplitude changes, phase shifts, and vertical translations modify these base graphs.
Formula
- A
- Amplitude (height of wave from centreline) — Amplitude (height of wave from centreline)
- Bx
- Bx value — Variable used in the calculation
- C
- Phase shift (horizontal displacement): shift = −C/B — Phase shift (horizontal displacement): shift = −C/B
- D
- Vertical shift (moves the centreline) — Vertical shift (moves the centreline)
- y
- A × sin(Bx + C) + D — A × sin(Bx + C) + D
Step-by-Step Guide
- 1y = A × sin(Bx + C) + D
- 2A = Amplitude (height of wave from centreline)
- 3B = affects Period: Period = 360°/B
- 4C = Phase shift (horizontal displacement): shift = −C/B
- 5D = Vertical shift (moves the centreline)
Worked Examples
Frequently Asked Questions
What is Trig Graphs?
Trigonometric graphs (sine, cosine, tangent) are periodic wave functions. The sine and cosine graphs oscillate between −1 and +1 with a period of 360° (2π radians)
How accurate is the Trig Graphs calculator?
The calculator uses the standard published formula for trig graphs. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.
What units does the Trig Graphs calculator use?
This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.
What formula does the Trig Graphs calculator use?
The core formula is: y = A × sin(Bx + C) + D. Each step in the calculation is shown so you can verify the result manually.
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